The longest span of the Brooklyn Bridge is suspended from cables supported by two towers approximately 1596 ft apart. The top of the towers are 142 ft above the road. Assuming that the cables are parabolic and are at road level halfway between the towers, find the height of the cables above the roadway 200 ft from either end. Round to the nearest foot.

Q: The height of a 818 ft³ storage bin in the form of a frustum of a rectangular pyramid is 6 ft. What…

A: Here given  The height of a 818 ft³ storage bin in the form of a frustum of a rectangular pyramid is…

Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the area of the…

A: Geometrical  pyramid  Area is   150 square meter

Q: Suppose you are standing such that a 36-foot tree is directly between you and the sun. If you are…

A: NOTE: Refresh your page if you can't see any equations. . here we have AD=10 BD=50 AB=60 BC=60 DE=x

Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide, and 20…

A: Given that: Depth of the rectangular parallelepiped: d=8 ft. Width of the rectangular…

Q: A satellite dish is in the shape of a parabolic surface has a diameter of 20 feet. If the receiver…

A:

Q: The arch of St. Louis is in the form of a parabola with base width( foundation to foundation…

A: The arch of St. Louis is in the form of a parabola with base width (foundation to foundation…

Q: The base of the rectangular pyramid shown above has one side that measures 5 inches, one side that…

A: To determine the area of the vertical cross-section of the pyramid that is parallel to longer side…

Q: The area of the whole surface of a cone is 64 sq. m. and the slant height is 5 times the radius of…

A:

Q: On moving day, Guyton needs to rent a truck. The length of the cargo space is  10   ft , and the…

A:

Q: The area of an ellipse is 301.593 and its perimeter is 64.076. Compute the length of the latus…

A:

Q: A buliding facade is in the shape of a semlellipse, with the major axis as the span. If the span is…

A:

Q: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: The given data is: Each side of the octagonal floor has a length of 10 ft Apothem measures a=12 ft…

Q: The area of the base of a right circular cone is 441A cm2. If the slant height is 29 cm, find the…

A:

Q: The legs of a right-triangular lot are 12 m and 10 m long. Find the dimensions of the base of the…

A: The legs of a right-triangular lot are 12 m and 10 m long. We have to find the dimensions of the…

Q: The area of a right angled triangle is 600 cm2 if the base of the triangle exceeds the altitude by…

A:

Q: A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

A: Given:A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

Q: If a bicycle has 26-inch diameter wheels, the front chain drive has a radius of 4 inches, and the…

A: Given that the diameter of a wheel 26 inch, the front chain drive radius is 4 inches and back drive…

Q: A truck has to pass under an overhead parabolic arch bridge 20 meters and is 16 meters high. If the…

A:

Q: A semielliptic archway has a height of 15 feet at the center and a width of 50 feet. The 50 foot…

A: Given that the semi elliptic archway of height of 15 feet at the centre and the width of 50 feet,…

Q: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: Given that, each side of octagonal floor is 10 ft, length of the apothem is 12 ft and the lateral…

Q: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: From given, each side of the octagonal floor is 10 ft and length of apothem is 12 ft. Lateral area…

Q: A bridge has a parabolic arch that is 60 ft high in the center and 100 ft wide at the bottom. Find…

A:

Q: The ends of a rope are held in place at the top of two posts, 9 m apart and each one 8 m high. If…

A: Solution : -      In the problem above, we assume that 8m is our y or the lowest point of the…

Q: A vertical cross section through the apex of this pyramid would be a | Select ]

A: Given figures are 3-D

Q: If a parabolic reflector of an automobile head light is 12 in. in diameter and 4 in. deep, what is…

A: To determine the area of the reflector of the headlight, lets consider the vertical cross section of…

Q: The arm of a Ferris wheel starting from the center to its passenger seat has a length of 80 ft. How…

A: Topic - circles

Q: If an elliptical whispering room has a height of 30 feet and a width of 100 feet, where should two…

A: Given that the ellipse is of width 100 feet and height of 30 feet. Here the two people likes to…

Q: The length of the base of a square pyramid is 15 inches. The slant height is 10 inches. What is the…

A: Given that  The length of the base of a square pyramid is 15 inches  The slant height is 10 inches…

Q: The lower edge of a mural, 12 feet high, is 6 feet above the observer's eyes. Under the assumption…

A:

Q: A cone-shaped block has a slant height of 6 inches and has a radius of 4 inches. What is the minimum…

A: we use formula   surface Area of cone =  πrl + πr2

Q: A satellite, located 2400 km above Earth’s surface, is in circular orbit around the earth. If it…

A:

Q: What kind of shape is created from the cross section seen here on the square pyramid?

A: A cross section is the shape we get when cutting straight through an object. The examples for…

Q: The roof of a tunnel is a semi-deck, if the tunnel is 100 m wide and the maximum height from floor…

A:

Q: Two of the sides of an isosceles triangle have lengths of 10 cm and 4 cm. Which length must be the…

A: Given that, two of the sides of an isosceles triangle have lengths of 10 cm and 4 cm. We have to…

Q: A town park was constructed to form a shape of a trapezoid. The base measures 128meters and 92…

A:

Q: A pole 25 feet long is carried horizontally along a corridor 15 feet wide and into a secon corridor…

A:

Q: A standard tennis ball has a diameter of 2.625 inches. The watson tennis ball corporation wants its…

A: Diameter, D  = 2.625 inchesRadius = R = D / 2 = 2.625 / 2 = 1.3125 inchesLength of the label =…

Q: A truck has to pass under an overhead parabolic arc bridge which has a span of 20 meters and is 16…

A:

Q: A road under the parabolic arch is 39 ft wide, and the maximum height of the arch is 17.4 ft. How…

A:

Q: A drawbridge that is 178 feet in length is raised at its midpoint so that the uppermost points are…

A: Let us draw the image in following way: We will apply Pythagoras theorem to find the height of the…

Q: An arch is in the form of a semiellipse is 52 feet wide at the base and has a height of 20 feet. How…

A:

Q: A billboard at ground level has a support length of 26 feet that extends from the top of the…

A: Consider the given triangle:

Q: A parabolic shaped radio transmitter has a diameter of 21 inches. If the signal-emitter (focus) is…

A: Given  Diameter of parabolic shaped radio transmitter = 21 inch  focus = 18 inch

Q: a 11 foot ladder is placed against a vertical wall of a building. with the buttom of the ladder…

A:

Q: Suppose you filla conical paper cup with a height of 6" with water. If all the water is then poured…

A: Given, height of cone= 6 inches

Q: Find the height of a circular cone having a slant height of √(10x ) and a base diameter of 2x

A:

Q: A spherical water tank has a radius of 31 feet is being replaced with a cylinder tank with the same…

A:

Q: A drawbridge the is 104 feet in length is raised at its midpoint so that the uppermost points are 8…

A: Pythagoras Theorem states that in right triangle the length of square of hypotenuse is equal to…

Q: Construct a rhombus having diagonals of length 60 mm and 75 mm and measure the length of a side.

A:

Q: Assuming that the (square) base of this building has a side length of 646 feet and that the pyramid…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.